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Finding the Fourth Proportional to 30,016.52, 45,025.36 and 9,240

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Solution

The fourth proportional to 30,016.52, 45,025.36 and 9,240 is: 13,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.52 : 45,025.36 = 9,240 : x
  2. Step 2: Convert to fraction form
    30,016.52/45,025.36 = 9,240/x
  3. Step 3: Cross multiply
    30,016.52x = 45,025.36 × 9,240
  4. Step 4: Simplify right side
    30,016.52x = 416,034,326.40
  5. Step 5: Solve for x
    x = 416,034,326.40/30,016.52
  6. Step 6: Final answer
    x = 13,860.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.